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2003 On the Floer homology of plumbed three-manifolds
Peter Ozsváth, Zoltán Szabó
Geom. Topol. 7(1): 185-224 (2003). DOI: 10.2140/gt.2003.7.185

Abstract

We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

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Peter Ozsváth. Zoltán Szabó. "On the Floer homology of plumbed three-manifolds." Geom. Topol. 7 (1) 185 - 224, 2003. https://doi.org/10.2140/gt.2003.7.185

Information

Received: 15 April 2002; Revised: 28 January 2003; Accepted: 9 March 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1130.57302
MathSciNet: MR1988284
Digital Object Identifier: 10.2140/gt.2003.7.185

Subjects:
Primary: 57R58
Secondary: 53D40, 57M27, 57N12

Rights: Copyright © 2003 Mathematical Sciences Publishers

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